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Simplifying 6(v + -7) = 8v + 42 Reorder the terms: 6(-7 + v) = 8v + 42 (-7 * 6 + v * 6) = 8v + 42 (-42 + 6v) = 8v + 42 Reorder the terms: -42 + 6v = 42 + 8v Solving -42 + 6v = 42 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -42 + 6v + -8v = 42 + 8v + -8v Combine like terms: 6v + -8v = -2v -42 + -2v = 42 + 8v + -8v Combine like terms: 8v + -8v = 0 -42 + -2v = 42 + 0 -42 + -2v = 42 Add '42' to each side of the equation. -42 + 42 + -2v = 42 + 42 Combine like terms: -42 + 42 = 0 0 + -2v = 42 + 42 -2v = 42 + 42 Combine like terms: 42 + 42 = 84 -2v = 84 Divide each side by '-2'. v = -42 Simplifying v = -42
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